Recent content by hpriye

Thankyou very much for your efforts! One important aspect of this integral is this: It belongs to a class of integrals which apparently diverge, but not in the real sense. For example define two functions f(x)\ =\ x^2 + e^{-x^2} \ and g(x)\ =\ x^2 + e^{-2 x^2} \ then individually the...

Yes, exactly. But I observed square root symbol is missing, even in the original typesetting. It should be (sqrt(2*pi))^3. Thank you very much! Kind regards hpriye

∫_(-∞)^∞▒∫_(-∞)^u▒∫_(-∞)^∞▒∫_(-∞)^v▒∫_(-∞)^∞▒∫_(-∞)^w▒〖f(x,y,z) dz dw dy dv dx du〗 f(x,y,z)=1/〖√2π〗^3 e^(-1/2(x^2+(y-x)^2+(z-y)^2))-1/√6 e^(-x^2/2-y^2/4-z^2/6) I have tried to give the MsWord 2007 format. Hope it is readable! Underscore stands for subscript and ^ stands for superscript...

More than misunderstanding I would say misreading :( hpriye

Ok. I tried the following transformation: x = r*cos(theta)*cos(phi) y = r*cos(theta)*(cos(phi) + sin(phi)) z = r*cos(theta)*(cos(phi) + sin(phi)) + r*sin(theta) and the Jacobian is -r^2*cos(theta). This means I am retaining the variables u,v,w as they are. Now the question: what are...

I am sorry, I thought it obvious that I was asking for a numerical method for evaluating the 6 dimension integral. Many thanks in advance hpriye

Hello I have the following question in numerical integration in higher dimension. Any help/suggestion would be welcome. The integral is ( I am using maple notation ): int( int( int( int( int( int( f(x,y,z), z=-infinity..w), w=-infinity..infinity)...